Question
A single discount equivalent to discount series 20% , 20% and 10% is = ?
Answer: Option C
Single equivalent discount for 20% and 20%
$$\eqalign{
& = 20 + 20 - \frac{{20 \times 20}}{{100}} \cr
& = 40 - 4 \cr
& = 36\% \cr} $$
Single equivalent discount for 36% and 10%
$$\eqalign{
& = 36 + 10 - \frac{{36 \times 10}}{{100}} \cr
& = 46 - 3.6 \cr
& = 42.4\% \cr} $$
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Single equivalent discount for 20% and 20%
$$\eqalign{
& = 20 + 20 - \frac{{20 \times 20}}{{100}} \cr
& = 40 - 4 \cr
& = 36\% \cr} $$
Single equivalent discount for 36% and 10%
$$\eqalign{
& = 36 + 10 - \frac{{36 \times 10}}{{100}} \cr
& = 46 - 3.6 \cr
& = 42.4\% \cr} $$
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